Atkin-Lehner |
2- 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
122176bh |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
174080 |
Modular degree for the optimal curve |
Δ |
-95136985088 = -1 · 212 · 234 · 83 |
Discriminant |
Eigenvalues |
2- -3 -2 -1 1 -4 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1004,-8384] |
[a1,a2,a3,a4,a6] |
Generators |
[61:529:1] |
Generators of the group modulo torsion |
j |
27325297728/23226803 |
j-invariant |
L |
2.9314834441037 |
L(r)(E,1)/r! |
Ω |
0.58956532334562 |
Real period |
R |
1.2430698661404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996377763 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122176bq1 61088a1 |
Quadratic twists by: -4 8 |